{"title":"Number of samples to use in estimating sinewave amplitude in the presence of noise","authors":"Francisco André Corrêa Alegria","doi":"10.1515/teme-2023-0118","DOIUrl":null,"url":null,"abstract":"Abstract The number of samples required to estimate the amplitude of a digitized sinewave depends on the amount of additive noise present, more specifically, on the precision of the estimator used which is depends directly on the additive noise standard deviation. Here an analytical approximate expression for this precision is derived and then used to derive an analytical expression useful in computing the minimum of number of samples that should be acquired to guarantee a given bound on the prevision of the sinewave amplitude estimates.","PeriodicalId":56086,"journal":{"name":"Tm-Technisches Messen","volume":"19 1","pages":"0"},"PeriodicalIF":0.8000,"publicationDate":"2023-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Tm-Technisches Messen","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1515/teme-2023-0118","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"INSTRUMENTS & INSTRUMENTATION","Score":null,"Total":0}
引用次数: 0
Abstract
Abstract The number of samples required to estimate the amplitude of a digitized sinewave depends on the amount of additive noise present, more specifically, on the precision of the estimator used which is depends directly on the additive noise standard deviation. Here an analytical approximate expression for this precision is derived and then used to derive an analytical expression useful in computing the minimum of number of samples that should be acquired to guarantee a given bound on the prevision of the sinewave amplitude estimates.
期刊介绍：
The journal promotes dialogue between the developers of application-oriented sensors, measurement systems, and measurement methods and the manufacturers and measurement technologists who use them.
Topics
The manufacture and characteristics of new sensors for measurement technology in the industrial sector
New measurement methods
Hardware and software based processing and analysis of measurement signals to obtain measurement values
The outcomes of employing new measurement systems and methods.
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